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Related Concept Videos

Ferromagnetism01:31

Ferromagnetism

Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
Energy In A Magnetic Field01:24

Energy In A Magnetic Field

If a magnetic field is sustained, there must be a current in a closed circuit or loop, implying some energy has been spent in creating the field. If this energy is not dissipated via the circuit's resistance, it is stored in the field.
Take an ideal inductor with zero resistance. Although it's practically impossible, assume that the coil's resistance is so small that it is practically negligible. The loss of the field's energy to dissipate thermal energy (or heat) is thus negligible.
The energy...
Potential-Energy Criterion for Equilibrium01:16

Potential-Energy Criterion for Equilibrium

Potential energy or potential function plays an essential role in determining the stability of a mechanical system. If a system is subjected to both gravitational and elastic forces, the potential function of the system can be expressed as the algebraic sum of gravitational and elastic potential energy. If the system is in equilibrium and is displaced by a small amount, then the work done on the system equals the negative of the change in the system's potential energy from the initial to the...
Energy Stored in Inductors01:16

Energy Stored in Inductors

An inductor is ingeniously crafted to accumulate energy within its magnetic field. This field is a direct result of the current that meanders through its coiled structure. When this current maintains a steady state, there is no detectable voltage across the inductor, prompting it to mimic the behavior of a short circuit when faced with direct current.
In terms of gauging the energy stored within an inductor, it is equivalent to the integral of the power delivered at every individual moment, all...
Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
Paramagnetism01:30

Paramagnetism

Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly oriented, and thus the net moment is zero. Under an external field, a torque acting on the moments tends to align them along the field's direction. However, the random thermal motion of electrons produces a torque opposite to the external field and tries to disorient the moments. These two competing effects align only a few moments along the...

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Optimizing the Energy Product in Core-Shell Nanoparticle Magnets: General Guidelines and the FePt/CoFe System.

Ioannis Panagiotopoulos1, Georgia Basina2, Garyfalia Nezou2

  • 1Department of Materials Science and Engineering, University of Ioannina, 45110 Ioannina, Greece.

Materials (Basel, Switzerland)
|June 12, 2026
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Summary

Optimizing permanent magnets involves balancing magnetization and coercivity. This study explores hard-soft nanoparticles, finding optimal energy products in small particles within the exchange spring regime.

Keywords:
core–shell magnetic nanoparticlesenergy producthard–soft magnetic nanocompositesmagnetization reversalpermanent magnet

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Area of Science:

  • Materials Science
  • Physics
  • Nanotechnology

Background:

  • Permanent magnet optimization is a complex multi-parametric challenge.
  • Achieving high remanent magnetization and coercivity often involves a trade-off.
  • Combining high-anisotropy hard phases with high-magnetization soft phases in nanoparticles is a promising approach.

Purpose of the Study:

  • To summarize general design rules for hard-soft magnetic nanoparticle systems.
  • To present specific calculations for the FePt/CoFe system.
  • To determine optimal size and phase content for high energy products in permanent magnets.

Main Methods:

  • Micromagnetics simulations were used to study magnetization reversal.
  • Calculations were performed for the FePt/CoFe system.
  • Analysis focused on the homogeneous exchange spring regime.

Main Results:

  • The inverse configuration of soft core/hard shell nanoparticles may be more accessible for fabrication.
  • Optimal energy products are achieved in small particles operating in the homogeneous exchange spring regime.
  • Complex reversal modes in larger particles are not relevant for high energy products.

Conclusions:

  • Optimal design requires balancing homogeneous reversal and avoiding thermal fluctuations.
  • Small particle size and specific phase content are crucial for maximizing energy products.
  • The FePt/CoFe system serves as a specific example for these design principles.